#
# Model from "Partitioning Polyhedral Objects into Nonintersecting parts'
# by mark Segal and Carlo H. Sequin, IEE CG&A, January 1988, pp 53-67.
#

save_mat = view_mat;

b1 = box(vector(  0.2,  0.2,  0.2),  0.8,  0.8,  0.8);
b2 = box(vector(  0.2,  0.2, -0.2),  0.8,  0.8, -0.8);
b3 = box(vector(  0.2, -0.2,  0.2),  0.8, -0.8,  0.8);
b4 = box(vector(  0.2, -0.2, -0.2),  0.8, -0.8, -0.8);
b5 = box(vector( -0.2,  0.2,  0.2), -0.8,  0.8,  0.8);
b6 = box(vector( -0.2,  0.2, -0.2), -0.8,  0.8, -0.8);
b7 = box(vector( -0.2, -0.2,  0.2), -0.8, -0.8,  0.8);
b8 = box(vector( -0.2, -0.2, -0.2), -0.8, -0.8, -0.8);

cubes = b1 ^ b2 ^ b3 ^ b4 ^ b5 ^ b6 ^ b7 ^ b8;
free(b1); free(b2); free(b3); free(b4); free(b5); free(b6); free(b7); free(b8);

rot_cubes = cubes * rotx(30) * rotz(25);

IntrCrv = iritstate( "intercrv", true );
crvs_cubes = cubes + rot_cubes;
color( crvs_cubes, green );
interact(list( crvs_cubes, cubes, rot_cubes ) );
free( crvs_cubes );
IntrCrv = iritstate( "intercrv", IntrCrv );
free( IntrCrv );

u_cubes = cubes + rot_cubes;
interact(u_cubes);

i_cubes = cubes * rot_cubes;
interact(i_cubes);

s_cubes = cubes - rot_cubes;
interact(s_cubes);

view_mat = rotx( 0 );
u_cubes = convex( u_cubes );
i_cubes = convex( i_cubes );
s_cubes = convex( s_cubes );

save( "cubes_u", u_cubes );
save( "cubes_i", i_cubes );
save( "cubes_s", s_cubes );

view_mat = save_mat;

free( u_cubes );
free( i_cubes );
free( s_cubes );

free( cubes );
free( rot_cubes );